Invariant cocycles, random tilings and the super-𝐾 and strong Markov properties

DOI10.1090/S0002-9947-97-01938-7zbMath0873.28007OpenAlexW1499726560MaRDI QIDQ4337959

Klaus Schmidt

Publication date: 27 May 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-97-01938-7

zbMATH Keywords

rearrangementstransitivityGibbs measureshifts of finite typeergodic equivalence relationsinvariant cocycles1-cocyleshigher-dimensional shifts of finite typeradom tilings

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Measure-preserving transformations (28D05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Exchangeability for stochastic processes (60G09)

Related Items (4)

Gate lattices and the stabilized automorphism group ⋮ Four-cycle free graphs, height functions, the pivot property and entropy minimality ⋮ Markov random fields, Markov cocycles and the 3-colored chessboard ⋮ Gibbs and equilibrium measures for some families of subshifts

Cites Work

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• Property T and asymptotically invariant sequences
• Measure space automorphisms, the normalizers of their full groups, and approximate finiteness
• On the finitary isomorphisms of markov shifts that have finite expected coding time
• Asymptotically Invariant Sequences and Approximate Finiteness
• Coexistence of the infinite (*) clusters: ? A remark on the square lattice site percolation
• Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. I
• Non-uniqueness of measures of maximal entropy for subshifts of finite type
• Symmetric Gibbs measures

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